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arXiv · 2411.14851

Effects of coupling range on the dynamics of swarmalators

Gourab Kumar Sar·Kevin O'Keeffe·Dibakar Ghosh
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Abstract

We study a variant of the one-dimensional swarmalator model where the units' interactions have a controllable length scale or range. We tune the model from the long-range regime, which is well studied, into the short-range regime, which is understudied, and find diverse collective states: sync dots, where the swarmalators arrange themselves into k>1 delta points of perfect synchrony, q-waves, where the swarmalators form spatiotemporal waves with winding number q>1, and an active state where unsteady oscillations are found. We present the phase diagram and derive most of the threshold boundaries analytically. These states may be observable in real-world swarmalator systems with low-range coupling such as biological microswimmers or active colloids.

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Gourab Kumar Sar, Kevin O'Keeffe, Dibakar Ghosh. 2024-11-22. Effects of coupling range on the dynamics of swarmalators. https://arxiv.org/abs/2411.14851

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